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Finding the Fourth Proportional to 409,280.64, 564,824.30 and 227,992.52

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Solution

The fourth proportional to 409,280.64, 564,824.30 and 227,992.52 is: 314,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,280.64 : 564,824.30 = 227,992.52 : x
  2. Step 2: Convert to fraction form
    409,280.64/564,824.30 = 227,992.52/x
  3. Step 3: Cross multiply
    409,280.64x = 564,824.30 × 227,992.52
  4. Step 4: Simplify right side
    409,280.64x = 128,775,711,550.15
  5. Step 5: Solve for x
    x = 128,775,711,550.15/409,280.64
  6. Step 6: Final answer
    x = 314,639.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.